Factors transmission probability

For z > zo, the distorted wavefunction has the same exponential dependence on z as the free wavefunction. Thus, d f dz gains the same factor. The tip wavefunction x gains a similar factor. Therefore, the transmission probability becomes... 

Note that this result is identical to Eq. (6.24). Although the quantum mechanical transmission probability at kinetic energies above the barrier energy is less than one, that is, particles are reflected above the barrier, the transmission in the tunneling region dominates in the integral due to the Boltzmann factor exp(—E/kBT). 

Thus the transmission probability T decays exponentially with barrier thickness L. Indeed, it decreases by a factor of 10 for every 0.1 nm of barrier thickness, indicating that electron tunneling is very short range indeed. 

P9.32 The rate of tunnelling is proportional to the transmission probability, so a ratio of tunnelling rates is equal to the corresponding ratio of transmission probabilities (given in eqn 9.20a). The desired factor is T IT2, where the subscripts denote the tunnelling distances in nanometers ... 

In a chemical reaction system at thermal equilibrium, the Boltzmann distribution of molecular energies must be taken Into account In obtaining the average transmission probability. The tunneling factor Is tisually defined as the ratio of this averaged transmission probability to that obtained with the classical values... 

Note that the present Gamow factor gives only the order of the transmission probability and is as good as the barrier is higher and shrink, i.e.. 

Freeman, R., Edwards, J.G. (1967) Transmission probabilities and recoil force correction factors for conical orifices. In The Characterization of High Temperature Vapors, edited by Margrave, J.L. New York John WUey and Sons, Inc., pp. 508-529. 

For a specific combination of electron donor and acceptor, the rate of electron tunneling is proportional to the transmission probability, with/c = 7 nm" (eqn 9.11). By what factor does the rate of electron tunneling between two co-factors increase as the distance between them changes firom 2.0 nm to 1.0 nm ... 

All these factors need to be taken into account, and solar transmission estimates are usually calculated or computed for the hours of daylight through the hotter months, although the amount of calculation can be much reduced if the probable worst conditions can be guessed. For example, the greatest solar gain for a window facing west will obviously be after midday, so no time would be... 

If the probability for the system to jump to the upper PES is small, the reaction is an adiabatic one. The advantage of the adiabatic approach consists in the fact that its application does not lead to difficulties of fundamental character, e.g., to those related to the detailed balance principle. The activation factor is determined here by the energy (or, to be more precise, by the free energy) corresponding to the top of the potential barrier, and the transmission coefficient, k, characterizing the probability of the rearrangement of the electron state is determined by the minimum separation AE of the lower and upper PES. The quantity AE is the same for the forward and reverse transitions. 

Transmission factor for the mass m Fragment factor for the gas to massm Relative ionization probability for the gas... 

Improved methods of studying brain chemicals, including methods such as PET that permit the study of living tissue, confirm the importance of dopamine in schizophrenia, though it is probably not the only factor. Scientists study other factors, many of which are related to synaptic transmission, such as genes involved in synaptic transmission. 

Where AG is the activation energy of the process, and T are the Boltzmann constant and the absolute temperature, respectively, v is the nuclear frequency factor, and is the transmission coefficient, a parameter that expresses the probability of the system to evolve from the reactant to the product configuration once the crossing of the potential energy curves along the reaction coordinate has been reached (Fig. 17.5). 

Teleologically one could argue that the virion would pick up a fatty acid in its VP1 pocket before its egress from the cell, which would then stabilize the virion in transit to new hosts. The HR Vs are known to be stable for long periods of time on surfaces and the dominant mode of transmission is thought to be hand-to-hand contact [75,76]. When a new host cell is reached, the stabilization factor might exit the pocket. This would allow the necessary conformational transition (probably at the GH loop) to occur and allow productive uncoating. 

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